330527089603216 has 135 divisors (see below), whose sum is σ = 711118807827337. Its totient is φ = 148715704720000.

The previous prime is 330527089603187. The next prime is 330527089603231. The reversal of 330527089603216 is 612306980725033.

The square root of 330527089603216 is 18180404.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 317566513596816 + 12960576006400 = 17820396^2 + 3600080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80793713331 + ... + 80793717421.

Almost surely, 2^{330527089603216} is an apocalyptic number.

330527089603216 is the 18180404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330527089603216

330527089603216 is an abundant number, since it is smaller than the sum of its proper divisors (380591718224121).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330527089603216 is an frugal number, since it uses more digits than its factorization.

330527089603216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 330527089603216 in words is "three hundred thirty trillion, five hundred twenty-seven billion, eighty-nine million, six hundred three thousand, two hundred sixteen".